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Finding the Third Proportional to 103,270 and 145,431

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Solution

The third proportional to 103,270 and 145,431 is: 204,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,270 : 145,431 = 145,431 : x
  2. Step 2: Convert to fraction form
    103,270/145,431 = 145,431/x
  3. Step 3: Cross multiply
    103,270x = 145,431 × 145,431
  4. Step 4: Simplify right side
    103,270x = 21,150,175,761
  5. Step 5: Solve for x
    x = 21,150,175,761/103,270
  6. Step 6: Final answer
    x = 204,804.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.